\begin{tabular}{l}
\text{\LARGE{Poisson distribution}}\\
\\\hline\\
\text{Poisson distribution is a discrete probability distribution which expresses}\\
\text{the probability of a given number of events in a fixed interval of time.}\\
\text{The events occur independently and with known average rate (instead of time}\\
\text{we can use for example length or space).}
\\\\\hline\\
\text{\Large{Input parameters}}\\
    \begin{array}{ll}\\
    \\\lambda & \text{expected value}\\
    \end{array}
\\\\\hline\\
\text{\Large{Output parameters}}\\
    \begin{array}{ll}\\
    \\\text{Standard deviation} & \mathbf{\sqrt{\lambda}}\\
    \\\text{Variance} & \mathbf{\lambda}\\
    \end{array}
\\\\\hline\\
\text{\Large{Additional information}}\\
    \begin{array}{ll}\\
    \\\text{Number of occurences} & \mathbf{k}\\
    \\\text{Probability mass function} & \mathbf{\frac{e^{-\lambda}\lambda^k}{k!}}\\
    \\\text{Moment-generating function} & \mathbf{\exp\left(\lambda\left(e^t-1\right)\right)}\\
    \end{array}
\end{tabular}